In this subsection we observe that a modification of Perelman's entropy functional [1]} is monotone along generalized Kähler-Ricci flow for structures of symplectic type. Our discussion is a direct adaptation of [2]}, (cf. also [3]}). There the monotonicity formulae and applications are contingent upon a further monotone quantity dubbed a torsion-bounding subsolution. In the setting of generalized Kähler structures of symplectic type the torsion potential \(b\)  plays this role, and we make this explicit below
